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Finding the Fourth Proportional to 3,292.26, 4,938.80 and 1,100.40

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Solution

The fourth proportional to 3,292.26, 4,938.80 and 1,100.40 is: 1,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.26 : 4,938.80 = 1,100.40 : x
  2. Step 2: Convert to fraction form
    3,292.26/4,938.80 = 1,100.40/x
  3. Step 3: Cross multiply
    3,292.26x = 4,938.80 × 1,100.40
  4. Step 4: Simplify right side
    3,292.26x = 5,434,655.52
  5. Step 5: Solve for x
    x = 5,434,655.52/3,292.26
  6. Step 6: Final answer
    x = 1,650.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.